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Simplifying -1 = 4(w + -4) + -7w Reorder the terms: -1 = 4(-4 + w) + -7w -1 = (-4 * 4 + w * 4) + -7w -1 = (-16 + 4w) + -7w Combine like terms: 4w + -7w = -3w -1 = -16 + -3w Solving -1 = -16 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -1 + 3w = -16 + -3w + 3w Combine like terms: -3w + 3w = 0 -1 + 3w = -16 + 0 -1 + 3w = -16 Add '1' to each side of the equation. -1 + 1 + 3w = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 3w = -16 + 1 3w = -16 + 1 Combine like terms: -16 + 1 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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